414232343232414 has 512 divisors, whose sum is σ = 1012087954944000. Its totient is φ = 110554080215040.

The previous prime is 414232343232307. The next prime is 414232343232457.

414232343232414 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 437415356689 + ... + 437415357635.

It is an arithmetic number, because the mean of its divisors is an integer number (1976734287000).

Almost surely, 2^{414232343232414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414232343232414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506043977472000).

414232343232414 is an abundant number, since it is smaller than the sum of its proper divisors (597855611711586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414232343232414 is a wasteful number, since it uses less digits than its factorization.

414232343232414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588.

The product of its digits is 1327104, while the sum is 42.

The spelling of 414232343232414 in words is "four hundred fourteen trillion, two hundred thirty-two billion, three hundred forty-three million, two hundred thirty-two thousand, four hundred fourteen".